1/6(12z-18)=2z-3
12/6z-18/6 =2z-3
2z-3=2z-3
there are infinite solutions for this equation or all real numbers
Answer:
C. x+y = 1 and -x-y = -1
Step-by-step explanation:
Remember that if a system of equations has an infinite number of solutions, then the resulting equation from using the first step of the elimination method would have no variables and would be true.
1) Let's try canceling out the equations in option C, x+y =-1 and -x-y =-1. Add the two equations together. (Work shown in attached picture.)
2) All of the terms cancel out with each other, leaving only a true statement of 0 = 0. Thus, option C is the answer.
<span>In the question "Ray UW is the angle bisector of VUT.
If mVUW = (4x + 6)° and mWUT = (6x – 10)°, what is the measure of WUT?"
It was given that UW is the angle bisector of VUT, which means that mVUW = mWUT.
i.e. 4x + 6 = 6x - 10
6x - 4x = 6 + 10
2x = 16
x = 8
Therefore, the measure of WUT = 6x - 10 = 6(8) - 10 = 48 - 10 = 38
</span>
Answer:
The total cost was $182.91.
Step-by-step explanation:
Tax formula:
tax=tax percentage×amount
Tip formula:
tip=tip percentage×amount
solve
First find the tax. Write 14% as the decimal 0.14 before using it in the equation.
tax
= tax percentage×amount
= 0.14×136.50
= 19.11
The tax was $19.11.
Now find the tip. Write 20% as the decimal 0.20 before using it in the equation.
tip
= tip percentage×amount
= 0.20×136.50
= 27.3
The tip was $27.30.
Finally, find the total cost.
total cost
= cost + tax+tip
= 136.50+19.11+27.30
= 182.91
